which of the following theorems verifies that kml = opq

Answer:

π is an irrational number whose value is non-terminating and non-recurring. 2 is a rational number. The product of a non-zero rational number and an irrational number is always an irrational number. Hence, 2π is an irrational number.

Step-by-step explanation:

The process of writing the equation involves calculatng the slope and the y-intercept

Represent the coordinates of the points with (x₁, y₁) and (x₂, y₂)

To write the equation of a line given two points, we first need to determine the slope of the line using the formula

Slope =  (y₂ - y₁)/(x₂ - x₁),

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two given points.

Once we have the slope, we can use the point-slope form of a line,

y - y₁ = m(x - x₁),

Where m is the slope and (x₁, y₁) is one of the given points.

We can then simplify this equation into slope-intercept form, y = mx + b, where b is the y-intercept of the line.

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The following are the percentage increase or decrease of each employee to the nearest whole number;

Ruiz = 13%

Aria = 36%

Jack = 6%

The employee who had an increase of at least 10% and sold $425 or more in product is Ruiz.

Ruiz:

Percent increase = change in sales / march sales × 100

= ($450 - $400) / $400 × 100

= $50/$400 × 100

= 13%

Aria:

Percent increase = change in sales / march sales × 100

= ($420 - $310) / $310 × 100

= $110/$310 × 100

= 36%

Jack:

Percent decrease = change in sales / march sales × 100

= ($460 - $432) / $460 × 100

= $28/$460 × 100

= 6%

Therefore, Ruiz is the only employee who receives a bonus.

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Answer:

A

Step-by-step explanation:

earning $10 an hour because it increases by 40

$8.25 for 1 scarf

All you have to do is divide the number($24.75) by the amount of scarves(3)

So divide 24.75 divide by 3 is 8.25

Please mark branliest if this helped

Answer:

yea bro 8.25

Step-by-step explanation:

hes right. and branliest

a) If g∘f is one-to-one, it is not necessarily the case that both f and g are one-to-one. We can construct a counter example as follows:

Let S = {1, 2}, T = {3, 4}, and U = {5}. Define f:S→T and g:T→U as follows:

f(1) = f(2) = 3

g(3) = g(4) = 5

Then, g∘f is one-to-one because there are no distinct elements in S that map to the same element in U under the composition. However, neither f nor g is one-to-one, since both map multiple elements of their domain to the same element of their range.

b) If g∘f is onto, it is not necessarily the case that both f and g are onto. We can construct a counterexample as follows:

Let S = {1}, T = {2}, and U = {3, 4}. Define f:S→T and g:T→U as follows:

f(1) = 2

g(2) = 3

Then, g∘f is onto, since every element of U has a preimage under the composition. However, f is not onto, since there is no element of S that maps to 2 under f. Similarly, g is not onto, since only one element of T maps to each element of U under g.

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Answer:

10 years

Step-by-step explanation:

Answer:

x= -7/2

Step-by-step explanation:

For the quadratic function,

(a) Standard form: f(x) = (x + 1)^2 - 7

(b) Its graph will be a parabola opening upward

(c) Minimum value: f(x) = -7

(a) To express the quadratic function f(x) = x^2 + 2x - 6 in standard form, we complete the square.

f(x) = (x^2 + 2x) - 6
To complete the square, take half of the linear coefficient (2) and square it: (2/2)^2 = 1.

Now, add and subtract this value inside the parentheses:
f(x) = (x^2 + 2x + 1 - 1) - 6
f(x) = (x + 1)^2 - 7

So, the standard form is f(x) = (x + 1)^2 - 7.

(b) Since the leading coefficient (1) is positive, the graph of this quadratic function opens upward. The vertex is at the point (-1, -7), which is the minimum point. To sketch the graph, plot the vertex and draw a parabola opening upward.

(c) The minimum value of the function is the y-coordinate of the vertex: f(x) = -7.

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the equation of the horizontal line passing through (-3, 4) is y = 4.

The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.

Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.

In other words, all the points on this line will have a y-coordinate of 4.

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Complete question is below

Write the equation of the horizontal line that passes through (-3, 4).

The equation for the horizontal line that passes through a given point is y = b.

A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.

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Answer:

C

Step-by-step explanation:

The table below shows the cost per pound of different vegetables.

Prices of Vegetables

Vegetable

Cost (per pound)

Potatoes

$3.89

Squash

$4.68

Carrots

$1.67

Cucumbers

$2.59

What is the estimated cost for 7.8 pounds of potatoes?

$16

$24

$32

$40

Answer:

(C) $32

I just did the test

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

Answer:

96 ft/s toward home plate

Step-by-step explanation:

because I Know this because I actually teached a class about this

The velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

A pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.

The distance baseball traveled = 60.5 ft

Time it takes = 0.63 seconds

As we know, the distance-time relationship:

u = d/t

Here, u is the velocity

d is the distance

t is the time

u = 60.5/0.63

u = 96.031 ft/second

Thus, the velocity of the ball is 96.031 ft/second if a pitcher throws a baseball to home plate from a distance of 60.5 ft the ball reaches home plate in 0.63 seconds.

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1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

The statement "you can tell if a sequence converges by looking at the first 1000 terms" is false because determining the convergence of a sequence requires analyzing its behavior as the number of terms approaches infinity, and cannot be determined by simply looking at a finite number of terms

To determine if a sequence converges or not, we need to analyze its behavior as the number of terms goes to infinity. Looking at a finite number of terms, even if it's a large number like 1000, does not provide enough information to make a conclusive determination. Mathematical techniques like the limit comparison test, ratio test, or root test are used to examine the long-term behavior of the sequence and to determine if it approaches a limit or not.

Therefore, it is false to assume that the convergence of a sequence can be determined by just looking at the first 1000 terms or any finite number of terms.

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The given question is incomplete, the complete question is:

You can tell if a sequence converges by looking at the first 1000 terms. Ture or false

The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.

To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.

Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.

When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.

When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.

Since these events are independent, we can multiply the probabilities together:

P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².

Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:

P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².

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In order to calculate the initial value, let's use the formula for compound interest:

Where P is the final amount after t years, P0 is the initial amount, i is the annual interest and n is how many times the interest is compounded in a year.

So, using P = 3960, i = 0.056, t = 10 and n = 52 (there are 52 weeks in a year), we have:

So you need to deposit $2262.67.

Answer:

6.43 × 10^-4 or 0.000643

Step-by-step explanation:

0.00067 - 2.3 × 10^-5 = 6.7 × 10^-4 - 2.5 × 10^5

6.7 × 10^-4 = 67 × 10^-5

67 × 10^-5 - 2.3 × 10^-5 = 64.3 × 10^-5 = 6.43 × 10^-4

Answer:

Step-by-step explanation:

(-2g+7)-(g+11)

-2g+7-g-11

-3g-4

The depth of the lake is 500 meters.

According to the question

Acceleration = 10 m/s²

Time = 10 sec

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

The distance covered in a certain time of accelerated motion:

D  =  (1/2) × A × T²

Distance covered= (1/2) (Acceleration) (Time squared) .

The question gives us the acceleration and the time.

Let's plug them into the formula.

Distance = (1/2) (10 m/s²) (10 sec)²

= (5 m/s²) (100 sec²)

= 500 meters.

The depth of the lake is 500 meters.

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Answer:

the wall of her kitchen is 12 units long

Answer:

-6-(-1)

Step-by-step explanation:

Since all the boxes are negative, and there are 6 boxes, the first part of the equation is -6.  Then since the last box is being taken away, we are subtracting it.  The last box is still negative though so the last part is -1.  Since -6 subtracted by -1 is -6-(-1), the answer is:

-6-(-1)

The possible representation of a function in a formula w = w(x)=v(x-7)+7 that is option c

The representation of a rational function can be a polynomial split by another polynomial.

The set of all numbers excluding the zeros in the denominator defines the domain of a rational function because polynomials are defined everywhere.

According to the question,

x=7 is the point of discontinuity for rational functions.

When a rational function has a point of discontinuity, it happens when:

Q(x)=r(x-a), where x=a

We must pay attention to the following relationship in this case, which is the union of a parent rational function and a vertical translation:

=> w(x) = v(x - a) +k , for every k belongs to R

If we know that a=7 and k=7.

Then, The equation representing function w is  w(x)=v(x-7)+7 option(c)

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Answer:

c

Step-by-step explanation:

c

Answer:

x = 16

Step-by-step explanation:

8x - 8 = 7x + 8

Angles are vertical angles so they will be equal to each other.

x = 16

Answer:

J. 1

Step-by-step explanation:

Plug the x values into the equation:

f(-1)=3-(-1)^2

f(2)=3-(2)^2

Solve each one, then add.

3-(-1)^2=

=3-1=2

3-(2)^2=

=3-4=-1

Combine the answers together.

2-1=1

The answer is J. 1.

Hope this helps!

Please mark as brainliest if correct!

Answer:

5 X 4 is the correct answer.

Step-by-step explanation:

I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.

Answer:

3

Step-by-step explanation:

6*3=18

48-18=30

30/10=3

3

Answer:

12.90%

Step-by-step explanation:

Given ;

Original price = 171.50

Sale price = 149.37

To find the % markdown :

Markdown = Purchase price - sale price

171.50 - 149.37 = 22.13

(Markdown / purchase price) * 100%

(22.13 / 171.50) * 100%

0.1290379 * 100%

= 12.90%